What is the solution to the equation of 5(x-6)=2(x+3)?
Answers
Answer:
Step-by-step explanation:
Simplifying
5(x + 6) = 2(x + 3)
Reorder the terms:
5(6 + x) = 2(x + 3)
(6 * 5 + x * 5) = 2(x + 3)
(30 + 5x) = 2(x + 3)
Reorder the terms:
30 + 5x = 2(3 + x)
30 + 5x = (3 * 2 + x * 2)
30 + 5x = (6 + 2x)
Solving
30 + 5x = 6 + 2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
30 + 5x + -2x = 6 + 2x + -2x
Combine like terms: 5x + -2x = 3x
30 + 3x = 6 + 2x + -2x
Combine like terms: 2x + -2x = 0
30 + 3x = 6 + 0
30 + 3x = 6
Add '-30' to each side of the equation.
30 + -30 + 3x = 6 + -30
Combine like terms: 30 + -30 = 0
0 + 3x = 6 + -30
3x = 6 + -30
Combine like terms: 6 + -30 = -24
3x = -24
Divide each side by '3'.
x = -8
Simplifying
Answer:
ans)5(x-6)=2(x+3)
=)5x - 30 = 2x + 6
=)5x-2x =6+30
=)3x=36
=)x=36/3
=12
Step-by-step explanation:
hope it helps........